{"id":"https://openalex.org/W4383220092","doi":"https://doi.org/10.1109/tit.2023.3292598","title":"Permutation Resemblance","display_name":"Permutation Resemblance","publication_year":2023,"publication_date":"2023-07-05","ids":{"openalex":"https://openalex.org/W4383220092","doi":"https://doi.org/10.1109/tit.2023.3292598"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3292598","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tit.2023.3292598","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013932154","display_name":"Li-An Chen","orcid":"https://orcid.org/0000-0002-5477-0815"},"institutions":[{"id":"https://openalex.org/I120156002","display_name":"Boise State University","ror":"https://ror.org/02e3zdp86","country_code":"US","type":"education","lineage":["https://openalex.org/I120156002"]},{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Li-An Chen","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE, USA","Department of Mathematics, Boise State University, Boise, ID, USA"],"raw_orcid":"https://orcid.org/0000-0002-5477-0815","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematics, Boise State University, Boise, ID, USA","institution_ids":["https://openalex.org/I120156002"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075467034","display_name":"Robert S. Coulter","orcid":"https://orcid.org/0000-0002-1546-8779"},"institutions":[{"id":"https://openalex.org/I120156002","display_name":"Boise State University","ror":"https://ror.org/02e3zdp86","country_code":"US","type":"education","lineage":["https://openalex.org/I120156002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert S. Coulter","raw_affiliation_strings":["Department of Mathematics, Boise State University, Boise, ID, USA"],"raw_orcid":"https://orcid.org/0000-0002-1546-8779","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Boise State University, Boise, ID, USA","institution_ids":["https://openalex.org/I120156002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013932154"],"corresponding_institution_ids":["https://openalex.org/I120156002","https://openalex.org/I86501945"],"apc_list":null,"apc_paid":null,"fwci":0.1704,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54465494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"69","issue":"10","first_page":"6711","last_page":"6718"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bijection-injection-and-surjection","display_name":"Bijection, injection and surjection","score":0.9669369459152222},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.9180940985679626},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.8878912329673767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7269377708435059},{"id":"https://openalex.org/keywords/partial-permutation","display_name":"Partial permutation","score":0.608384370803833},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5757327079772949},{"id":"https://openalex.org/keywords/permutation-graph","display_name":"Permutation graph","score":0.5711920857429504},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5000948905944824},{"id":"https://openalex.org/keywords/random-permutation","display_name":"Random permutation","score":0.484838604927063},{"id":"https://openalex.org/keywords/bit-reversal-permutation","display_name":"Bit-reversal permutation","score":0.4670411944389343},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4437117576599121},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42256584763526917},{"id":"https://openalex.org/keywords/permutation-group","display_name":"Permutation group","score":0.41830307245254517},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4155064821243286},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.39465266466140747},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.23201978206634521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17930394411087036},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.06150612235069275}],"concepts":[{"id":"https://openalex.org/C48659774","wikidata":"https://www.wikidata.org/wiki/Q4907197","display_name":"Bijection, injection and surjection","level":3,"score":0.9669369459152222},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9180940985679626},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.8878912329673767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7269377708435059},{"id":"https://openalex.org/C145633696","wikidata":"https://www.wikidata.org/wiki/Q1401935","display_name":"Partial permutation","level":4,"score":0.608384370803833},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5757327079772949},{"id":"https://openalex.org/C68965932","wikidata":"https://www.wikidata.org/wiki/Q7169369","display_name":"Permutation graph","level":3,"score":0.5711920857429504},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5000948905944824},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.484838604927063},{"id":"https://openalex.org/C175473596","wikidata":"https://www.wikidata.org/wiki/Q4918660","display_name":"Bit-reversal permutation","level":4,"score":0.4670411944389343},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4437117576599121},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42256584763526917},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.41830307245254517},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4155064821243286},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.39465266466140747},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.23201978206634521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17930394411087036},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.06150612235069275},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2023.3292598","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tit.2023.3292598","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308928","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1480591395","https://openalex.org/W1528065150","https://openalex.org/W1587687098","https://openalex.org/W1965411348","https://openalex.org/W1969345984","https://openalex.org/W2007877747","https://openalex.org/W2068272963","https://openalex.org/W2082143349","https://openalex.org/W2141385399","https://openalex.org/W2144323841","https://openalex.org/W2160265826","https://openalex.org/W2890359787","https://openalex.org/W3104885263","https://openalex.org/W3107590701","https://openalex.org/W3201743700","https://openalex.org/W4248135912","https://openalex.org/W4399623597","https://openalex.org/W6850291847"],"related_works":["https://openalex.org/W2363611940","https://openalex.org/W2385551783","https://openalex.org/W4383755479","https://openalex.org/W4302067876","https://openalex.org/W1997601808","https://openalex.org/W2613407656","https://openalex.org/W2964309395","https://openalex.org/W4285292213","https://openalex.org/W3000823598","https://openalex.org/W2125494331"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"the":[2,14,26,59,80],"problem":[3],"of":[4,16,19,62,68],"constructing":[5],"bijective":[6],"maps":[7],"with":[8],"low":[9,52],"differential":[10,82],"uniformity,":[11],"we":[12],"introduce":[13],"notion":[15],"permutation":[17,41,60],"resemblance":[18,42,61],"a":[20,28,34],"function,":[21],"which":[22,65],"looks":[23],"to":[24,50,74,78],"measure":[25],"distance":[27],"given":[29],"map":[30],"is":[31],"from":[32],"being":[33],"permutation.":[35],"We":[36,56],"prove":[37],"several":[38],"results":[39],"concerning":[40],"and":[43,77],"show":[44],"how":[45],"it":[46],"can":[47],"be":[48,75],"used":[49],"produce":[51],"differentially":[53],"uniform":[54],"bijections.":[55],"also":[57],"study":[58],"planar":[63],"functions,":[64],"over":[66],"fields":[67],"odd":[69],"characteristic":[70],"are":[71],"known":[72],"not":[73],"bijections":[76],"have":[79],"optimal":[81],"uniformity.":[83]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
